Shoot a number with the Italian doctor first (7)
I believe the answer is:
tendril
'shoot' is the definition.
(thesaurus)
'a number with the italian doctor first' is the wordplay.
'a number with' becomes 'ten' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'the italian' becomes 'il' (the in Italian).
'doctor' becomes 'dr' ('Dr' can be a synonym of 'doctor').
'first' means one lot of letters go next to another.
'il' put after 'dr' is 'dril'.
'ten'+'dril'='TENDRIL'
Can you help me to learn more?
(Other definitions for tendril that I've seen before include "Thread-like part by which climbing plant clings" , "Gripping part of climbing plant" , "Slender structure on some twining plants" , "Plant's climbing aid" , "shoot to gain support" .)